Atkin-Lehner |
2+ 3- 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370i |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.8932171280482E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-937134,-279234860] |
[a1,a2,a3,a4,a6] |
Generators |
[-2738:10567:8] |
Generators of the group modulo torsion |
j |
124853732088588711649/25970056626176000 |
j-invariant |
L |
6.4758003242869 |
L(r)(E,1)/r! |
Ω |
0.15569300994441 |
Real period |
R |
6.9322319237946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7930a1 |
Quadratic twists by: -3 |